High Commissioner - Sir Harold MacMichael
Emir of Transjordan - Abdullah I bin al-Hussein
Prime Minister of Transjordan - Tawfik Abu al-Huda
7 February – 17 March — The London Conference at St. James's Palace is held in an attempt to resolve the future of the British Mandate over Palestine. The conference ends without making any progress.
27 February - 38 Arab Palestinians killed and 44 injured when a number of bombs exploded across the country during the morning.
2 March - The first broadcast of the underground radio station of the Irgun "Kol Tsion HaLokhemet".
27 March - Abdul Rahim al Hajj Mohammed, a Palestinian leader was ambushed and killed by the British Army.
2 May - The founding of the kibbutz Dahlia
3 May - The founding of the kibbutz Dafna
4 May - The founding of the kibbutz Dan
8 May - The founding of the kibbutz Sde Eliyahu
17 May - The British government issues the White Paper of 1939, following the failure of the London Conference and the continued Arab revolt, which abandons the idea of partitioning, sharply restricts Jewish immigration into Palestine and places severe restrictions on the rights of Jews to buy land from Arabs.
23 May - The founding of the kibbutz Mahanayim
23 May - The founding of the moshav Shadmot Dvora
23 May - The founding of the kibbutz HaZore'im
23 May - The founding of the kibbutz Kfar Glikson
28 May - The founding of the moshav Mishmar HaYam
23 June - The founding of the kibbutz Hamadia
26 June - The founding of the moshav Kfar Netter
12 July - The founding of the kibbutz Negba
13 August - The founding of the kibbutz Gesher
29 October - The founding of the kibbutz Amir
The founding of the kibbutz Beit Oren
The founding of the kibbutz Afek
The founding of the moshav Kfar Warburg
3 January - Arik Einstein, Israeli singer-songwriter
12 February - Yael Dayan, Israeli politician and author
4 May - Amos Oz, Israeli writer, novelist, and journalist
22 June - Ada Yonath, Israeli crystallographer, recipient of the Nobel Prize in Chemistry
8 July - Abdelhamid Sharaf, former Jordanian Prime Minister (died 1980)
22 July - Gila Almagor, Israeli actress and author
9 September - Reuven Rivlin, Israeli politician. Currently serving as a speaker of the Knesset
24 September - Moti Kirschenbaum, Israeli journalist and media personality
10 November – Sakher Habash, Palestinian Arab politician, a leader of the Fatah movement (died 2009)
28 December - Yehoram Gaon, Israeli singer and actor
Full date unknown
Hakam Balawi, Palestinian Arab writer and member of Palestinian Legislative Council
Ghada Karmi, Palestinian Arab doctor of medicine, author and academic
Samih al-Qasim, Transjordanian-born Israeli Druze poet
Moshe Weinberg, Israeli wrestling coach, murdered at the Munich Olympics (died 1972)
1939 in Mandatory Palestine Wikipedia
Events in the year 1939 in the British Mandate of Palestine.